For Exercises 23â26, refer to the figure below. 23. Name the vertex of 7. ANSWER: G. 24. Write another name for 4. ANSWER: Sample answer: CDG. 25...

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Study Guide and Review Use the figure to complete each of the following.

Find the value of the variable and XP, if X is between P and Q. 11. XQ = 13, XP = 5x – 3, PQ = 40 ANSWER: x = 6, XP = 27

5. Name the intersection of lines a and c. ANSWER: point P

12. XQ = 3k, XP = 7k – 2, PQ = 6k + 16 ANSWER: k = 4.5, XP = 29.5

6. Give another name for line b. Determine whether each pair of segments is congruent.

ANSWER: 13. 7. Name a point that is not contained in any of the three lines a, b, or c. ANSWER: point W

ANSWER: yes

8. Give another name for plane WPX. ANSWER: plane R

14.

Name the geometric term that is best modeled by each item.

ANSWER: no

9. ANSWER: line

15. DISTANCE The distance from Salvador’s job to his house is 3 times greater than the distance from his house to school. If his house is between his job and school and the distance from his job to school is 6 miles, how far is it from Salvador’s house to school? ANSWER: 1.5 mi

10. ANSWER: point Find the value of the variable and XP, if X is between P and Q. 11. XQ = 13, XP = 5x – 3, PQ = 40 ANSWER: x = 6, XP =- Powered 27 eSolutions Manual by Cognero 12. XQ = 3k, XP = 7k – 2, PQ = 6k + 16

Find the distance between each pair of points. 16. A(–3, 1), B(7, 13) ANSWER: ≈ 15.6 17. P(2, –1), Q(10, –7) ANSWER: 10 Find the coordinates of the midpoint of a segment with the given endpoints.

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their locations.

16. A(–3, 1), B(7, 13)

ANSWER: a. ≈ 8.9 units b. (5, 9)

ANSWER: Study Guide and Review ≈ 15.6 17. P(2, –1), Q(10, –7)

For Exercises 23–26, refer to the figure below.

ANSWER: 10 Find the coordinates of the midpoint of a segment with the given endpoints. 18. L(–3, 16), M (17, 4) ANSWER: (7, 10)

23. Name the vertex of

7.

ANSWER: G

19. C(32, –1), D(0, –12) ANSWER: (16, –6.5)

24. Write another name for

Find the coordinates of the missing endpoint if M is the midpoint of 20. X(–11, –6), M (15, 4)

ANSWER: Sample answer:

CDG

25. Name the sides of

2.

4.

ANSWER:

ANSWER: (41, 14)

26. Name a pair of opposite rays.

21. M (–4, 8), Y(19, 0)

ANSWER:

ANSWER: (–27, 16)

Sample answer:

22. HIKING Carol and Marita are hiking in a state park and decide to take separate trails. The map of the park is set up on a coordinate grid. Carol’s location is at the point (7, 13) and Marita is at (3, 5). a. Find the distance between them. b. Find the coordinates of the point midway between their locations. ANSWER: a. ≈ 8.9 units b. (5, 9) For Exercises 23–26, refer to the figure below.

27. SIGNS A sign at West High School has the shape shown. Measure each of the angles and classify them as right, acute, or obtuse.

ANSWER: Sample answer: A and B are right, are obtuse, and D is acute.

E and

C

For Exercises 28–30, refer to the figure below.

23. Name the vertex of

7. 28. Name an angle supplementary to

ANSWER: G eSolutions Manual - Powered by Cognero

24. Write another name for

ANSWER: Sample answer:

TVY.

TVR

4. 29. Name a pair of vertical angles with vertex W.

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ANSWER: Sample A and B are right, Study Guideanswer: and Review are obtuse, and D is acute.

E and

C

For Exercises 28–30, refer to the figure below.

28. Name an angle supplementary to ANSWER: Sample answer:

TVY.

TVR

29. Name a pair of vertical angles with vertex W. ANSWER: Sample answer:

QWP and

XWV

30. If m SXW = 5x – 16, find the value of x so that ANSWER: 21.2 31. PARKING The parking arm shown below rests in a horizontal position and opens to a vertical position. After the arm has moved 24°, how many more degrees does it have to move so that it is vertical?

ANSWER: 66

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